摘要
利用权函数法提出了一个求解非线性方程单根的8阶收敛方法,该方法在每步迭代的过程中需要计算3个函数值和1个导数值,故其效率指数为1.682.通过与其他几个方法作数值比较,数值结果表明本方法是有效的.
A new family of eighthorder iterative method for solving simple roots of nonlinear e quation is developed by using weight function methods. Per iteration of this method require three e valuations of the function and one evaluation of the first derivative, so the efficiency index of the de veloped methods is 1. 682. Some numerical comparisons are made with several other existing meth ods to illustrate the efficiency and the performance of the newly developed method confirms the theo retical results.
出处
《福建师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2014年第2期13-19,共7页
Journal of Fujian Normal University：Natural Science Edition
基金
国家自然科学基金资助项目(11071041)
福建省自然科学基金资助项目(2013J01006)
关键词
非线性方程
权函数法
收敛阶法
效率指数
数值比较
nonlinear equation
weight function method
convergence order
efficiency in-dex
numerical comparison
